# MATHEMATICS – IV

 Course Code : BSCM1210 Author : uLektz University : Biju Patnaik University of Technology (BPUT) Regulation : 2010 Categories : Civil Format : ePUB3 (DRM Protected) Type : eBook

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Description :MATHEMATICS – IV of BSCM1210 covers the latest syllabus prescribed by Biju Patnaik University of Technology (BPUT) for regulation 2010. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### UNIT-I NUMERICAL METHODS

1.1 Approximation and round of errors, Truncation error and Taylor’s series

1.2 Roots of equation: The bisection method, the false-position method, fixed point iteration, the Newton-Raphson method, Muller’s method

1.3 Linear algebraic equation: LU decomposition, the matrix inverse, Gauss-Seidel method

1.4 Interpolation: Newton divided difference interpolation, Lagrange Interpolation, Newton’s forward and backward interpolation

1.5 Numerical integration: The trapezoidal rule, The Simpson’s rules, Gauss quadrature Ordinary differential equation: Euler’s method,Improvement of Euler’s method, Runge-Kutta methods

###### UNIT-II PROBABILITY

2.1 Probability, Random variables, Probability distributions

2.2 Mean and variance of distribution, Binomial, Poisson and Hyper geometric distributions

2.3 Normal distribution, Distribution of several random variables

###### UNIT-III MATHEMATICAL STATISTICS

3.1 Random sampling, Estimation of Parameters, Confidence Intervals

3.2 Testing of hypothesis, Acceptance sampling, Chi square test for goodness of fit

3.3 Regression Analysis, Fitting Straight Lines, Correlation analysis